Bouncing behaviours in four dimensional Einstein Gauss-Bonnet gravity with cosmography and observational constraints

Abstract

This manuscript is based on an investigation of bouncing cosmology in a 4D Einstein Gauss-Bonnet gravity. Various bouncing models such as symmetric bounce, matter bounce, super bounce, and oscillatory bounce have been examined. Expressions for energy density, pressure, equation of state parameter have been derived in the most general manner and then reduced to 4D Einstein Gauss-Bonnet gravity for isotropic, homogenous, FLRW cosmos. Physical interpretation of Hubble and deceleration parameters has also been discussed and plotted for each model from non-vanishing scale factors. Non-singular bouncing models indulge in accelerating late-time cosmic acceleration phenomenon. It has been analysed that the Gauss-Bonnet coupling parameter has a lesser contribution to the dynamics of modified gravity while the bouncing parameter has noticeable effects. We have examined various energy conditions and witnessed the violation of strong and null energy conditions in bouncing models. Analytical expressions for jerk and snap parameters have also been calculated in terms of cosmic time and redshift. We have explored bouncing models through specific cosmographic tests to check their validity. Also, through stability analysis, matter bounce becomes the most stable model by increasing the value of the bouncing parameter. To find best-fit values, bouncing models have been constrained with Hubble data set and ΛCDM. We have calculated the values of parameters by applying the least-square fitting method. To make this analysis quantified, we have employed reduced chi-squared method on H(z) data sets for each model.

Bouncing cosmological models in f(R, Lm) gravity

“…As a result, the matter bounce has been suggested as a potential solution to this problem. We are also focused on the matter bounce scenario with the respective scale factor in this work as [48] a t a t .…”

“…Such non-singular cosmology with the violation of the null energy condition is supported in generalized Galileon theories [46]. The idea of a big bounce scenario in the context of modified gravity replacing the big bang singularity is an intriguing topic for research [47][48][49][50]. There are plenty of interesting results of bouncing scenario in the context of f (R) gravity that have appeared in the literature, such as Carlos et al [51] have studied bouncing cosmologies in Palatini f (R) gravity formalism, Niladri et al [52] studied cosmological bounce in spatially flat FRW environment in metric f (R) gravity, S D Odintsov and V K Oikonomou investigated matter bounce loop quantum cosmology from f (R) gravity [53], R Myrzakulov and L Sebastian studied bouncing solutions with viscous fluid [54], bouncing cosmology with future singularity from modified gravity has been investigated in [55], and others [56][57][58][59][60][61][62][63].…”

Casimir wormhole with GUP correction in extended symmetric teleparallel gravity

“…The possible construction of traversable wormholes exploring the Casimir energy within the purview of modified gravity theories have been discussed in literature [13,[24][25][26][32][33][34][35][36][37][38]. Tripathy [13] has considered the construction of Casimir wormholes within f (R, T ) gravity theory where it has been shown that, the wormhole geometry specifically depends on the choice of the model parameters as well as that of the GUP correction parameter.…”

“…In the weak field limit, Javed et al [32] obtained the weak deflection angle of light from Casimir wormhole. Zubair and Farooq [34] have analysed the effect of GUP correction on traversable Casimir wormholes within five dimensional Einstein Gauss-Bonnet gravity theory. de Oliviera et al [73] considered Yukawa type corrections to the wormhole shape function and shown that for some Yukawa parameter it is possible to obtain repulsive gravitational wormhole.…”

“…Subsequently, the modelling of traversable wormhole exploring the Casimir effect has been shown in extended theory of gravity [13]. There are some more studies available in literature [32][33][34][35][36][37][38] on Casimir wormhole by employing different modified theories of gravity. Recently Santos et al have obtained a traversable wormhole solution sourced by Casimir energy density and pressure related to the quantum fluctuations in Yang-Mills theory [31].…”